10271026417 has 2 divisors, whose sum is σ = 10271026418. Its totient is φ = 10271026416.

The previous prime is 10271026369. The next prime is 10271026429. The reversal of 10271026417 is 71462017201.

10271026417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8449102561 + 1821923856 = 91919^2 + 42684^2 .

It is a cyclic number.

It is not a de Polignac number, because 10271026417 - 2¹¹ = 10271024369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10271026457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5135513208 + 5135513209.

It is an arithmetic number, because the mean of its divisors is an integer number (5135513209).

Almost surely, 2^10271026417 is an apocalyptic number.

It is an amenable number.

10271026417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10271026417 is an equidigital number, since it uses as much as digits as its factorization.

10271026417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 10271026417 in words is "ten billion, two hundred seventy-one million, twenty-six thousand, four hundred seventeen".